On locally homogeneous compact pseudo-Riemannian manifolds
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 135-139
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We are interested in the problem of the existence of compact Clifford–Klein forms of pseudo-Riemannian homogeneous spaces $G/H$ of reductive type. We give a generalization of our previous result in [Proc. Amer. Math. Soc. (2017)] with a more conceptual and simpler proof. We show that there are no solvable compact Clifford–Klein forms of pseudo-Riemannian homogeneous spaces $G/H$ with any unimodular subgroup $H$ contained in the semisimple part of the Levi factor of some parabolic subgroup.
Keywords:
interested problem existence compact clifford klein forms pseudo riemannian homogeneous spaces reductive type generalization previous result proc amer math soc conceptual simpler proof there solvable compact clifford klein forms pseudo riemannian homogeneous spaces unimodular subgroup contained semisimple part levi factor parabolic subgroup
Affiliations des auteurs :
Maciej Bocheński 1 ; Piotr Jastrzębski 1 ; Aleksy Tralle 1
@article{10_4064_cm7139s_1_2017,
author = {Maciej Boche\'nski and Piotr Jastrz\k{e}bski and Aleksy Tralle},
title = {On locally homogeneous compact {pseudo-Riemannian} manifolds},
journal = {Colloquium Mathematicum},
pages = {135--139},
year = {2017},
volume = {150},
number = {1},
doi = {10.4064/cm7139s-1-2017},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm7139s-1-2017/}
}
TY - JOUR AU - Maciej Bocheński AU - Piotr Jastrzębski AU - Aleksy Tralle TI - On locally homogeneous compact pseudo-Riemannian manifolds JO - Colloquium Mathematicum PY - 2017 SP - 135 EP - 139 VL - 150 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm7139s-1-2017/ DO - 10.4064/cm7139s-1-2017 LA - en ID - 10_4064_cm7139s_1_2017 ER -
%0 Journal Article %A Maciej Bocheński %A Piotr Jastrzębski %A Aleksy Tralle %T On locally homogeneous compact pseudo-Riemannian manifolds %J Colloquium Mathematicum %D 2017 %P 135-139 %V 150 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/cm7139s-1-2017/ %R 10.4064/cm7139s-1-2017 %G en %F 10_4064_cm7139s_1_2017
Maciej Bocheński; Piotr Jastrzębski; Aleksy Tralle. On locally homogeneous compact pseudo-Riemannian manifolds. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 135-139. doi: 10.4064/cm7139s-1-2017
Cité par Sources :